Motion is the essence of any mechanical system. Analyzing a system’s dynamical response to distinct motion parameters allows for increased understanding of its performance thresholds and can in turn provide clear data to inform improved system designs. Modeling of Complex Mechanical Systems: Fundamentals and Applications equips readers with significant insights into nonlinear vibration phenomenology through a combination of advanced mathematical fundamentals and worked-through modeling experiments. To guide them in determining novel stabilization characteristics for complex moving objects,…mehr
Motion is the essence of any mechanical system. Analyzing a system’s dynamical response to distinct motion parameters allows for increased understanding of its performance thresholds and can in turn provide clear data to inform improved system designs. Modeling of Complex Mechanical Systems: Fundamentals and Applications equips readers with significant insights into nonlinear vibration phenomenology through a combination of advanced mathematical fundamentals and worked-through modeling experiments. To guide them in determining novel stabilization characteristics for complex moving objects, coupled structures, as well as the stochastic stability of mechanical systems, the technical and methodological analysis is accompanied by industry-relevant practical examples, contributing much sought-after applicable knowledge. The book is intended for use by postgraduate students, academic researchers, and professional engineers alike.
Dr. Stojanovic completed his PhD in Theoretical and Applied Mechanics in 2013 (with part of the research carried out at the Instituto de Engenharia Mecânica, University of Lisbon, Portugal) at the University of Ni, Serbia. He is an accredited member of the Serbian Society of Mechanics, an accredited member of the Board of Directors of the Serbian Society of Mechanics and a reviewer for several prestigious international journals in the field. His research interests principally focus on the modelling of complex linear and nonlinear continuous and discrete dynamical systems, analytical and numerical methods of solutions to MDOF-based models and application of the principles of dynamic and stochastic stability to engineering problems in vibration.
Inhaltsangabe
Part I: Fundamental mathematical background of dynamics and vibrations: Overview of numerical methods and recent improvements 1. Mathematical methods and procedures in the analysis of stability of vibrations of complex moving objects 2. Mathematical methods and applications in the analysis of nonlinear vibrations 3. Mathematical methods in stochastic stability of mechanical systems Part II: Stability of vibrations of complex moving objects: Modeling and applications 4. Stabilization and critical velocity of a moving mass 5. Stability of vibration of a complex discrete oscillator moving at an overcritical speed 6. Vibrational benefits of a new stabilizer in moving coupled vehicles 7. Dynamics and stability of a complex rail vehicle system 8. Modeling of a three-part viscoelastic foundation and its effect on dynamic stability 9. Effect of an asymmetric primary stiffness suspension on the dynamic stability of complex moving oscillators Part III: Nonlinear vibrations: Stabilizing phenomena and applications 10. Nonlinear amplitude analysis of shear deformable beams supported by an elastic foundation with variable discontinuity 11. Nonlinear vibrational characteristics of damaged beams resting on a Pasternak foundation 12. The purpose of an arch in the stability of nonlinear vibrations of coupled structures 13. Quantitative effect of an axial load on the amplitude stability of rotating nano-beams 14. Coupled multiple plate systems and their stability characteristics Part IV: Stochastic stability of structures and mechanical systems: Methodology and examples 15. Moment Lyapunov exponents and stochastic stability of vibrationally isolated laminated plates 16. Higher-order stochastic averaging method in fractional stochastic dynamics 17. Parametric stochastic stability of viscoelastic rotating shafts 18. Stochastic stability of circular cylindrical shells 19. Generalized transformations for MDOF stochastic systems Part V: From traditional methods to Artificial Intelligence 20. Modeling and applications of markers in machine learning and technical practice
Part I: Fundamental mathematical background of dynamics and vibrations: Overview of numerical methods and recent improvements 1. Mathematical methods and procedures in the analysis of stability of vibrations of complex moving objects 2. Mathematical methods and applications in the analysis of nonlinear vibrations 3. Mathematical methods in stochastic stability of mechanical systems Part II: Stability of vibrations of complex moving objects: Modeling and applications 4. Stabilization and critical velocity of a moving mass 5. Stability of vibration of a complex discrete oscillator moving at an overcritical speed 6. Vibrational benefits of a new stabilizer in moving coupled vehicles 7. Dynamics and stability of a complex rail vehicle system 8. Modeling of a three-part viscoelastic foundation and its effect on dynamic stability 9. Effect of an asymmetric primary stiffness suspension on the dynamic stability of complex moving oscillators Part III: Nonlinear vibrations: Stabilizing phenomena and applications 10. Nonlinear amplitude analysis of shear deformable beams supported by an elastic foundation with variable discontinuity 11. Nonlinear vibrational characteristics of damaged beams resting on a Pasternak foundation 12. The purpose of an arch in the stability of nonlinear vibrations of coupled structures 13. Quantitative effect of an axial load on the amplitude stability of rotating nano-beams 14. Coupled multiple plate systems and their stability characteristics Part IV: Stochastic stability of structures and mechanical systems: Methodology and examples 15. Moment Lyapunov exponents and stochastic stability of vibrationally isolated laminated plates 16. Higher-order stochastic averaging method in fractional stochastic dynamics 17. Parametric stochastic stability of viscoelastic rotating shafts 18. Stochastic stability of circular cylindrical shells 19. Generalized transformations for MDOF stochastic systems Part V: From traditional methods to Artificial Intelligence 20. Modeling and applications of markers in machine learning and technical practice
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